Two-loop Calculation of Higgs Mass in Gauge-Higgs Unification: 5D Massless QED Compactified on S^1

Physics – High Energy Physics – High Energy Physics - Phenomenology

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22 pages, 9 eps figures, (v2)references added, (v3)discussion on finite correction, 1 figure, a reference added, (v4)final ver

Scientific paper

10.1016/j.nuclphysb.2006.07.023

We calculate the quantum corrections to the mass of the zero mode of the fifth component of the gauge field at two-loop level in a five dimensional massless QED compactified on S^1. We discuss in detail how the divergences are exactly canceled and the mass becomes finite. The key ingredients to obtain the result are the five dimensional gauge invariance and the Ward-Takahashi identity. We also evaluate the finite part of corrections.

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